What is the answer to 4/5 = x/(x-2) ?

The answer to 4/5 = x/(x-2) is x=-8

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4/5 = x/(x-2)

\frac{4}{5} = \frac{x}{x - 2}

x = - 8

Solution steps

\frac{4}{5} = \frac{x}{x - 2}

Cross multiply

4 x - 8 = 5 x

Move

8

to the right side

4 x = 5 x + 8

Move

5 x

to the left side

- x = 8

Divide both sides by

- 1

x = - 8

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = - 8

\frac{3}{a} = 42

\frac{x - 2}{x} = \frac{1}{2}

\frac{60}{r} = - 10

0 = 20 - 7260 x^{- 2}

1200 = \frac{3350}{( 1 + x ) ^{8}}